1998/09/03 by Bastian Bergerhoff, Juergen Reingruber, Jürgen Reingruber · 8 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometry #Group (periodic table) #High-pressure geophysics and materials #Mathematical physics #Mathematics #Phase transition #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Renormalization group #Scalar (mathematics) #Thermodynamics #cond-mat #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.60.105036
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 60(10) (American Physical Society) · 32 pages with 10 figures and 4 tables included, latex2e
arxiv created 1998/09/03 · openalex publication_date 1999/10/27 · arxiv updated 2011/07/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We discuss the formulation of ``thermal renormalization group equations'' and their application to the finite temperature phase transition of scalar O(N) theories. Thermal renormalization group equations allow for a computation of both the universal and the nonuniversal aspects of the critical behavior directly in terms of the zero-temperature physical couplings. They provide a nonperturbative method for a computation of quantities such as real-time correlation functions in a thermal environment, where in many situations straightforward perturbation theory fails due to the bad infrared behavior of the thermal fluctuations. We present results for the critical temperature, critical exponents and amplitudes as well as the scaling equation of state for self-interacting scalar theories.